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<p>&nbsp;<p>
<hr noshade size="5">
<h2><a name="QpSqrt"></a>
QpSqrt
</h2>

Computes the square root of an element in Q_p.

<p><p>

<h3>
Syntax:
</h3>
<pre>s := QpSqrt(k);</pre>

<p>

<table>
<tr>
<td>p-adic element</td>
<td><pre>  k  </pre></td>
<td></td>
</tr>
<tr>
<td>p-adic element</td>
<td><pre>  s  </pre></td>
<td></td>
</tr>
</table>

<p>


See also:&nbsp;&nbsp;<a href="kashref.html#IsQp">IsQp</a>, <a href="kashref.html#Qp">Qp</a>, <a href="kashref.html#QpElt">QpElt</a>, <a href="kashref.html#QpEltToQ">QpEltToQ</a>, <a href="kashref.html#QpEltQp">QpEltQp</a>, <a href="kashref.html#QpPrec">QpPrec</a>, <a href="kashref.html#QpExp">QpExp</a>, <a href="kashref.html#QpLog">QpLog</a>, <a href="kashref.html#QpPrime">QpPrime</a>, <a href="kashref.html#QpValuation">QpValuation</a>

<p>

<h3>
Description:
</h3>
This function returns the square root s of the element k of a
p-adic field. If prec is the used precision, the result is
correct modulo p^{prec}.

<p><p>

<p>
<hr>
<p>
<h3>
Example:
</h3>

<pre>

kash> F := Qp(3);
3-adic Field mod 3^20
kash> k := QpElt(F, 19);
1 + 2*3^2
kash> s := QpSqrt(k);
> 1 + 3^2 + 3^4 + 3^5 + 2*3^8 + 3^9 + 3^10 + 2*3^11 + 3^13 + 2*3^15 + 3^16 + 2*3\
^18 + 2*3^19 + O(3^20)

</pre>

<p>


<hr>

<p>
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